I just measured with a micrometer, and my wedding ring has developed an eccentricity of 0.3303 (24.4mm x 23.03mm). Which is rather odd, because I always take it off when I'm doing the kind of things that would tend to crush small loops of soft metal.
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Having only just come across this post, I shall submit mine for verification this evening.
However, I find the second statement of the original post to be a bit suspect...